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1 Perry High School Kevin M. Bond, PHD Algebra 2: Week 7 Monday: 2.4 Writing Equations of Lines Tuesday: 2.4 Work Day Wednesday: 2.5 Correlation and Best-Fitting Lines Thursday: 2.5 Work Day Friday: 2.6 Linear Inequalities in Two Variables Note: Don’t forget to read the sections before or after we cover them. Also, don’t forget the website. Next Week: Finish Chapter 2: 2.6, 2.7, 2.8

Perry High School Algebra 2: Week 7faculty.perry.k12.ok.us/wp-content/uploads/2016/08/Bond_Algebra2_Week7.pdf · 3 Perry High School Kevin M. Bond, PHD 2.3 Debrief Mindfulness Exercise

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1

Perry High School

Kevin M. Bond, PHD

Algebra 2: Week 7

Monday: 2.4 – Writing Equations of Lines

Tuesday: 2.4 – Work Day

Wednesday: 2.5 – Correlation and Best-Fitting Lines

Thursday: 2.5 – Work Day

Friday: 2.6 – Linear Inequalities in Two Variables

Note: Don’t forget to read the sections before or after we

cover them. Also, don’t forget the website.

Next Week: Finish Chapter 2: 2.6, 2.7, 2.8

3

Perry High School

Kevin M. Bond, PHD

2.3 Debrief

Mindfulness Exercise

Questions on 2.3?

Mixed Review, page 88, evens

Don’t forget – lecture notes, to include homework

and videos, are available online:

• http://faculty.perry.k12.ok.us/algebra-ii-bond-

kevin-lesson-plans/

4

Perry High School

Kevin M. Bond, PHD

2.4: Writing Equations of Lines

Goals

• Writing Linear Equations

– Converse of given a line find:

• Intercepts

• Slope

• Points on the line

• Writing Direct Equations

– Understanding rates of change that are related to

each other

5

Perry High School

Kevin M. Bond, PHD

6

Perry High School

Kevin M. Bond, PHD

Slope-Intercept Form

Given the slope m and y-intercept b, use the

equation: y=mx+b

E.g.,1: My y-intercept is 50 and the slope is 2.

E.g., 2: Slope is 3/2, has points (-2, -4) and (2, 2).

E.g., 3: Perpendicular and parallel to y=2x-3

7

Perry High School

Kevin M. Bond, PHD

Point-Slope Form

Given:

(a)Slope m and a point (x1,y1), OR

(b)Two points (x1,y1), (x2,y2)

E.g., 4: m=2 and point (2,3)

E.g., 5: points (2,1), (-1,-2)

8

Perry High School

Kevin M. Bond, PHD

Direct Variation

Note 1: Constant k can be a fraction

Note 2: The y-intercept is zero

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Perry High School

Kevin M. Bond, PHD

What is constant of variation?

10

Perry High School

Kevin M. Bond, PHD

Tables

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Perry High School

Kevin M. Bond, PHD

Tables

12

Perry High School

Kevin M. Bond, PHD

2.4 Practice

Day One (today)

2.4, Page 95

Guided Practice

1-12

Mixed Review

71-94

Day Two (tomorrow)

2.4, Page 95

Practice and Applications

14-40 even

44-58 even

59, 62, 64, 68, 69

14

Perry High School

Kevin M. Bond, PHD

2.4 Work Day

Day One (Yesterday)

2.4, Page 95

Questions on…

Guided Practice

1-12

Mixed Review

71-94

Day Two (Today)

2.4, Page 95

Practice and Applications

14-40 even

44-58 even

59, 62, 64, 68, 69

Show when completed

16

Perry High School

Kevin M. Bond, PHD

2.4 Debrief

Mindfulness Exercise

Questions on 2.4?

Don’t forget – lecture notes, to include homework

and videos, are available online:

• http://faculty.perry.k12.ok.us/algebra-ii-bond-

kevin-lesson-plans/

17

Perry High School

Kevin M. Bond, PHD

2.5: Correlation and Best-Fitting Lines

a.k.a. some very useful applications

Goals

• Scatter Plots and Correlation

– Plotting Data on Graph, Seeing if the data is

related.

• Approximating Best-Fitting Lines

– Give an equation that roughly fits the data.

18

Perry High School

Kevin M. Bond, PHD

Visualizing Data: Scatter Plot

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Perry High School

Kevin M. Bond, PHD

Correlation

20

Perry High School

Kevin M. Bond, PHD

Approximate a Line of Best Fit Method One:

1. Draw Scatter Plot

2. Sketch a line that “most

follows the pattern”.

3. Choose two points on

this line.

4. Find an equation using

those two points.

Method Two:

1. Draw Scatter Plot

2. Pick two points that

“most represent the

data”.

3. Find an equation using

those two points.

Note: This is not THE line of best fit, but a guess of that line.

21

Perry High School

Kevin M. Bond, PHD

Approximate a Line of Best Fit Method One:

1. Draw Scatter Plot

2. Sketch a line that “most

follows the pattern”.

3. Choose two points on

this line.

4. Find an equation using

those two points.

Method Two:

1. Draw Scatter Plot

2. Pick two points that

“most represent the

data”.

3. Find an equation using

those two points.

Note: This is not THE line of best fit, but a guess of that line.

22

Perry High School

Kevin M. Bond, PHD

2.5 Practice Day

Day One (Today)

2.5, p. 103

Guided Practice

1-7

Mixed Review

1-9

Day Two (Tomorrow)

2.5, p. 103

Practice and Applications

8-22 evens

23, 26, 27, 28

Show when completed

24

Perry High School

Kevin M. Bond, PHD

2.5 Work Day

Day One (Yesterday)

Questions on…

2.5, p. 103

Guided Practice

1-7

Mixed Review

1-9

Day Two (Today)

2.5, p. 103

Practice and Applications

8-22 evens

23, 26, 27, 28

Show when completed

26

Perry High School

Kevin M. Bond, PHD

2.5 Debrief

Mindfulness Exercise

Questions on 2.5?

Don’t forget – lecture notes, to include homework

and videos, are available online:

• http://faculty.perry.k12.ok.us/algebra-ii-bond-

kevin-lesson-plans/

27

Perry High School

Kevin M. Bond, PHD

2.6: Linear Inequalities in Two Variables

Goals

• Graphing Linear Inequalities

– Scaling inequalities up to 2-dimensions

• Using Linear Inequalities in Real Life

– Applications and such

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Perry High School

Kevin M. Bond, PHD

Recall Inequalities

29

Perry High School

Kevin M. Bond, PHD

Linear Inequality

A line

defines a

boundary

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Perry High School

Kevin M. Bond, PHD

Equation vs. Inequality

31

Perry High School

Kevin M. Bond, PHD

Above or Below

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Perry High School

Kevin M. Bond, PHD

Graphing

An inequality in two variables graphs ½ of a plane:

1. Graph the boundary line. Use solid line only if

equation has “equal to” aspect, else dash the

line.

2. Test points above and/or below the line. Shade

if test point is a solution.

E.g.,1: y>2

E.g., 2: y=2x

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Perry High School

Kevin M. Bond, PHD

Application

34

Perry High School

Kevin M. Bond, PHD

2.6 Practice Day

Day One (Today)

2.6, p. 111

Guided Practice

1-11

Mixed Review

62-74

Day Two (Tomorrow)

2.5, p. 103

Practice and Applications

14-44 evens

46, 47, 52, 53

Show when completed